4(p^2+4)-160=0

Solution for 4(p^2+4)-160=0 equation:

Simplifying
4(p2 + 4) + -160 = 0

Reorder the terms:
4(4 + p2) + -160 = 0
(4 * 4 + p2 * 4) + -160 = 0
(16 + 4p2) + -160 = 0

Reorder the terms:
16 + -160 + 4p2 = 0

Combine like terms: 16 + -160 = -144
-144 + 4p2 = 0

Solving
-144 + 4p2 = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '144' to each side of the equation.
-144 + 144 + 4p2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 4p2 = 0 + 144
4p2 = 0 + 144

Combine like terms: 0 + 144 = 144
4p2 = 144

Divide each side by '4'.
p2 = 36

Simplifying
p2 = 36

Take the square root of each side:
p = {-6, 6}